Title :
Jacobi elliptic function-like solutions for generalized stochastic KdV equation
Author_Institution :
Math. Coll., Jilin Normal Univ., Siping, China
Abstract :
By extended mapping method and Hermite transformation, we study the generalized stochastic KdV equation, and obtain some families of stochastic exact solutions, which include Jacobi elliptic function-like, combined Jacobi elliptic function-like, soliton-like, kink-bell soliton-like and triangular function-like solutions.
Keywords :
Korteweg-de Vries equation; elliptic equations; nonlinear differential equations; solitons; stochastic processes; Hermite transformation; combined Jacobi elliptic function-like solution; extended mapping method; generalized stochastic KdV equation; kink-bell soliton-like solution; stochastic exact solutions; triangular function-like solution; Equations; Jacobian matrices; Mathematical model; Partial differential equations; Solitons; Stochastic processes; White noise; Hermite transformation; extended mapping method; generalized stochastic KdV equation; stochastic exact solution; white noise;
Conference_Titel :
System Science, Engineering Design and Manufacturing Informatization (ICSEM), 2012 3rd International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4673-0914-1
DOI :
10.1109/ICSSEM.2012.6340796
